Question

What is the dimensions of magnetic field B in terms of C (= coulomb), M, L, T?

• A. $[M^1L^1T^{-2}C]$
• B. $[M^1L^0T^{-1}C^{-1}]$
• C. $[M^1L^0T^{-2}C]$
• D. $[M^1L^0T^{-1}C]$

Answer 1

Answer: (B)

$[M^1L^0T^{-1}C^{-1}]$

Answer 2

$B=\frac{F}{qv}=\frac{\left[MLT^{ -1}\right]}{\left[AT\right]\left[LT^{ -1}\right]}=\left[ML^{0}T^{ -2}A^{ -1}\right]$ But $\left[A\right]=\left[C T^{ -1}\right]$ $\therefore \left[B\right]=\left[ML^{0} T^{ -1} C^{ -1}\right]$